What is the range of \sqrt[3]{x-1} ?

The range of \sqrt[3]{x-1} is -infinity <f(x)<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of \sqrt[3]{x-1}

range

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

Inverse of

x^{3} + 1

Find the domain of each inverse function

Domain of

x^{3} + 1 : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

(5, - 4), (11, - 4)

f (x) = x^{2} + 3

f (x) = x + 4, x \leq - 5

2 x^{4} + 3 x^{3} - 6 x^{2} - 5 x + 6

f (x) = \frac{1}{2} x

What is the range of \sqrt[3]{x-1} ?
The range of \sqrt[3]{x-1} is -infinity <f(x)<infinity